FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

OMB APPROVAL OMB Number: 3235-0287 Expires: January 31, 2005 Estimated average burden hours per response... 0.5

(Print or Type Responses)

1. Name and Address of Reporting Person * GOULD FREDRIC H   2. Issuer Name and Ticker or Trading Symbol ONE LIBERTY PROPERTIES INC [OLP] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chariman of Board (Last) (First) (Middle) 60 CUTTER MILL ROAD, SUITE 303 3. Date of Earliest Transaction (Month/Day/Year) 05/15/2009 (Street) GREAT NECK, NY 11021 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock               352,744 D   Common Stock               131 (1) I By corporation Common Stock               12,315 (2) I By partnership Common Stock               3,713 (3) I By pension trust Common Stock               138,010 (3) I By pension and profit sharing funds of REIT Management Corp. Common Stock               64,635 (4) I By spouse Common Stock               12,832 (5) I By foundation Common Stock 05/15/2009   P   1,000 A $ 5.3 1,126,950 (6) I By partnership Common Stock 05/15/2009   P   1,000 A $ 5.25 1,127,950 (6) I By partnership Common Stock 05/15/2009   P   1,000 A $ 5.174 1,128,950 (6) I By partnership Common Stock 05/15/2009   P   1,000 A $ 5.133 1,129,950 (6) I By partnership

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
	Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.		SEC 1474 (9-02)

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
GOULD FREDRIC H 60 CUTTER MILL ROAD SUITE 303 GREAT NECK, NY 11021	X		Chariman of Board

Signatures

Fredric H. Gould, by Simeon Brinberg, his attorney in fact		05/19/2009
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Reporting person is the sole shareholder of this corporation.
(2)	Reporting person is a partner in this partnership.
(3)	Reporting person is a trustee of this pension trust.
(4)	Reporting person disclaims any beneficial interest in shares held directly by reporting person's spouse. Total includes 12,128 shares of issuer held by the Gould Shenfeld Family Foundation, of which reporting person's spouse is a director.
(5)	Reporting person is a director of the Gould Shenfeld Family Foundation.
(6)	Reporting person, the sole member of a limited liability company which is a general partner of Gould Investors L.P. and an executive officer of the corporate managing general partner of Gould Investors L.P., indirectly owns shares reported directly by Gould Investors L.P. This represents all shares of issuer owned by Gould Investors L.P.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.